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Finding the Fourth Proportional to 193,821.70, 290,742.15 and 100,509.70

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Solution

The fourth proportional to 193,821.70, 290,742.15 and 100,509.70 is: 150,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,821.70 : 290,742.15 = 100,509.70 : x
  2. Step 2: Convert to fraction form
    193,821.70/290,742.15 = 100,509.70/x
  3. Step 3: Cross multiply
    193,821.70x = 290,742.15 × 100,509.70
  4. Step 4: Simplify right side
    193,821.70x = 29,222,406,273.86
  5. Step 5: Solve for x
    x = 29,222,406,273.86/193,821.70
  6. Step 6: Final answer
    x = 150,769.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.